Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- given
- given;
as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,
Answer:
the smallest sample size is 163
Step-by-step explanation:
The computation of the smallest sample size that meets these criteria is shown below:
n = (Z a/2 × Standard deviation ÷ Margin of error ) ^2
Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 2.6
Margin of error i.e. ME =0.4
n = ( 1.96 × 2.6 ÷ 0.4) ^2
= 163
Hence, the smallest sample size is 163
Answer:
128 miles
Step-by-step explanation:
5 + 3 = 8, 32 / 8 = 4, 4 x 4 = 16
5 x 16 = 80
3 x 16 = 48
80 + 48 = 128
The distance between park station 1 and the point where the flare was set off is 73.9 km.
<h3>What is distance?</h3>
Distance is the length between two points expressed in meters or kilometers.
To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule
Formula:
- a/sinA = b/sinB....................... Equation 1
Where:
- a = Distance between park station 1 and the point where the flare was set off.
Make a the subject of the equation
- a = bsinA/sinB............ Equation 2
From the diagram,
Given:
- A = 59°
- B = (180-59-75) = 46°
- b = 6.2 km
Substitute these values into equation 2
Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.
Learn more about distance here: brainly.com/question/17273444
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Answer:
Depends on domain of x, could be
-√(y+10)/7; √(y+10)/7 or no solutions
Step-by-step explanation:
You need to solve it for x:
y=7x^2-10
7x^2=y+10
x^2=(y+10)/7
In order for this equation to have an inverse, you need to check the domain of x. There needs to be only one solution for x^2=(y+10)/7 - either positive or negative, depending on the domain.
